Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 109554.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109554.a1 | 109554d1 | \([1, 1, 0, -15138172, 22614446800]\) | \(449832171462601/1137825792\) | \(970441420166007478272\) | \([]\) | \(11784960\) | \(2.9038\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 109554.a do not have complex multiplication.Modular form 109554.2.a.a
sage: E.q_eigenform(10)